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Finding the Fourth Proportional to 16,233.27, 22,402.54 and 9,159.94

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Solution

The fourth proportional to 16,233.27, 22,402.54 and 9,159.94 is: 12,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.27 : 22,402.54 = 9,159.94 : x
  2. Step 2: Convert to fraction form
    16,233.27/22,402.54 = 9,159.94/x
  3. Step 3: Cross multiply
    16,233.27x = 22,402.54 × 9,159.94
  4. Step 4: Simplify right side
    16,233.27x = 205,205,922.25
  5. Step 5: Solve for x
    x = 205,205,922.25/16,233.27
  6. Step 6: Final answer
    x = 12,641.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.